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Finding the Third Proportional to 20,926.50 and 31,027.75

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Solution

The third proportional to 20,926.50 and 31,027.75 is: 46,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.50 : 31,027.75 = 31,027.75 : x
  2. Step 2: Convert to fraction form
    20,926.50/31,027.75 = 31,027.75/x
  3. Step 3: Cross multiply
    20,926.50x = 31,027.75 × 31,027.75
  4. Step 4: Simplify right side
    20,926.50x = 962,721,270.06
  5. Step 5: Solve for x
    x = 962,721,270.06/20,926.50
  6. Step 6: Final answer
    x = 46,004.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.